International Journal of Engineering Trends and Technology (IJETT) – Volume 27 Number 5 - September 2015 Development of an aggregate planning model for the Assam Bell Metal Co-Operative Society Sajjad Hussain#1, Thuleshwar Nath*2, Mafidur Rahman#3 1 M.E. Student, 2Associate Professor, 3Assistant Professor #Department of Mechanical Engineering, Jorhat Engineering College, Jorhat, Assam, India Abstract—With the advent of technological advancements in production, many traditionally manpower oriented industries like the bell metal industry strive for survival. Although its infrastructural pattern, techniques of manufacture and types of product has undergone extensive changes, it is still industrially unorganized. For the traditional bell metal industry in Sarthebari to survive in the present market it is necessary that the industry be handled from the industrial engineering perspective. A planned approach is essential to fulfill the demand forecasts for the upcoming period. Demand forecasts form the basis of all supply chain planning. Obtaining forecasting information frequently means using sophisticated techniques to estimate future sales or market conditions. Aggregate planning transforms forecasts into plans of activity to satisfy the projected demand. A key decision managers’ face is how to collaborate on aggregate planning throughout the entire supply chain. To accomplish aggregate planning, MSEXCEL 2010 spreadsheet application is used which helps us to formulate the planning for the upcoming financial year. The optimized total cost incurred is determined against decision variables which cumulatively the total cost for the next financial year. The aggregate plan becomes a critical piece of information to be shared across the supply chain because it affects both the demand on a firm's suppliers and the supply to its customers. To be effective, it requires inputs from throughout the supply chain, and its results have a tremendous impact on supply chain performance. Keywords—Bell metal industry, Industrial engineering, Forecasting, Aggregate planning, Supply chain, Planning Horizon. I. INTRODUCTION Sarthebari is located 27 kms from Barpeta. It is famous for its centuries old traditional bell metal industry which dates back to King Bhaskarvarman in 7th century AD. It has a special place in every Assamese household. It is the second largest handicraft of Assam. About 40 percent of the people in this village are engaged in this cottage industry. It also has a historical importance in the Assamese folklore. ISSN: 2231-5381 Demand forecasts form the basis of all supply chain planning. All push processes in the supply chain are performed in anticipation of customer demand, whereas all pull processes are performed in response to customer demand. For push processes, a manager must plan the level of activity, be it production, transportation, or any other planned activity. For pull processes, manager must plan the level of available capacity and inventory but not the actual amount to be executed. In both instances, the first step a manager must take is to forecast what customer demand will be. Companies often use forecasts both on a tactical level to schedule production and on a strategic level to determine whether to build new plants or even whether to enter a new market [1]. Once a company creates a forecast, the company needs a plan to act on this forecast. Aggregate planning transforms forecasts into plans of activity to satisfy the projected demand. The aggregate plan becomes a critical piece of information to be shared across the supply chain because it affects both the demand on a firm's suppliers and the supply to its customers [1]. II. LITERATURE REVIEW The bell metal industry is still industrially unorganized state. Thus, planning requires an extensive literature review. Kalita, B., (2008) [2] discusses the present condition of the Sarthebari Bell metal industry. The traditional industry is also discussed from the historical perspective. The geographical perspective of Sarthebari town area and nearby villages where bell metal work is going on is provided. Goswami, B., (2009) [3] provides an insight to the traditional bell metal industry in Sarthebari with a special emphasis on its role in employment generation. Key issues relating to the industry right from the procurement of raw materials to the dispatch of the finished bell metal items have been discussed and suggestions offered to address them. Problems relating to marketing have also been discussed. Gallego, G., (2001) [4] defines aggregate production planning as being concerned with the determination of production, inventory, and work force levels to meet fluctuating demand requirements over a planning horizon that ranges from six months to one year. Normally, the physical resources of the firm are assumed to be fixed during http://www.ijettjournal.org Page 261 International Journal of Engineering Trends and Technology (IJETT) – Volume 27 Number 5 - September 2015 the planning horizon of interest and the planning effort is oriented toward the best utilization of those resources, given the external demand requirements. Since it is usually impossible to consider every finite details associated with the production process while maintaining such a long planning horizon, it is mandatory to aggregate the information being processed. Johnny, C. H. T., et al. (2015) [8] describes some unique characteristics of Aggregate Production Planning, which make the teaching of this topic in Operations Management courses somewhat different than other topics. Techawiboonwong, A., et al. (2002) [9] presents an aggregate production planning(APP) model and a guideline to develop an optimal aggregate production plan using the spreadsheet solver approach. Among existing APP approaches, the spreadsheet solver approach is found to be the most applicable for industries due to the following reasons: (1) the solver on spreadsheet software is readily available on virtually all personal computers, (2) the APP model is relatively easy to formulate in a spreadsheet format, and (3) the results are easy to interpret. Correa, F.A., et al., (2004) [10] introduces an Excel model for aggregate planning, characterized by its great flexibility and for the use of Excel Solver, which in many cases allow us to find the optimal solution for a given set of conditions. Spreadsheets are the most common software tool managers use to analyse data and model quantitative problems. III. OBJECTIVE The objective of the study is to develop an aggregate planning model for the Assam bell metal co-operative society(AK in order to fulfil the forecasted demand for the upcoming financial year. The demand forecast is made taking into account the historical sales data. IV. METHODOLOGY A step by step approach was undertaken in order to solve the research problem. An extensive field study was undertaken for information collection.Then the statistical information collected. The following steps were taken as a part the research methodology: Data collection: An extensive field study was undertaken in order to gather vital information about the indigenous bell metal industry. Field trips were made to the manufacturing household units, the private players, the co-operative society and its retail outlets throughout Assam, the primary suppliers i.e. the traders from Guwahati to gather vital information regarding all stages of the of supply chain of this industry which is still in the dormant state in many regards. Statistical data was collected regarding the production capacity of manufacturing units, rate of raw material ISSN: 2231-5381 consumption, costs incurred in various aspects.Historical sales data was collected from the co-operative society and information was gathered regarding costs incurred in various aspects such as transportation, making charges paid to the manufacturing units, cost of raw material, inventory costs. Information was also collected regarding the collaboration of the co-operative society with other players in the supply chain. Forecasting: Because most supply chain decisions are based on an estimate of future demand, forecast of future demand is done based on historical demand data. Taking historical sales data of the past three years for the co-operative society, a monthly sales forecast is made of the upcoming financial year 2015-2016. The forecasting is accomplished using the MS- EXCEL 2010 spreadsheet application. Aggregate planning: After we obtain the demand data for the financial year 2015-16, planning needs to be done in order to fulfill the forecasted demand. Two scenarios are considered. Case1: The workforce for the co-operative society is considered variable, where the co-operative has the authority to hire or layoff household units. The decision variables are taken into account and the costs associated with them are also accounted for. The constraints associated with the decision variables are also formulated as equations. Thus a linear programming problem is formulated for the co-operative society. This LPP is solved using the MS- EXCEL 2010 spreadsheet application. This gives us the optimized total cost for the planned period. Case 2: Since the co-operative society is bound by rules and regulations, it cannot hire or lay off its member units at will. The workforce of the cooperative society is considered to be constant at117(from field study)(present the strength of the co-operative society). The total cost for the decision variables is calculated which cumulatively gives the total cost for the planned period. V. ANALYSIS AND DISCUSSION A. Formation of linear programming problem for the co-operative society 1. Inferences from field study Mean quantity of bell metal produced per household unit per day = (2896/193) kg =15 kg Number of charcoal bags consumed in production of 1 kg of finished bell metal item = 0.2044 charcoal bags. From the sales data and production capacity the mean contribution of each of the household units to the co-operative society http://www.ijettjournal.org Page 262 International Journal of Engineering Trends and Technology (IJETT) – Volume 27 Number 5 - September 2015 Cost of Broken bell metal + Cost of Charcoal bags= (∑750* Bt + ∑240* Ct), t=1,2,3,…….,12 is calculated to be 11.833% of their total production. Number of working days = Monthly sales/ (No. of households* Mean contribution of each of the household* Mean quantity of bell metal produced per household unit per day) Mean contribution to the co-operative society per household per day = Mean quantity of bell metal produced per household unit per day * percentage contribution of each household to the cooperative society = (0.11833*15) kg = 1.775 kg 2. Decision variables Pt= quantity of finished bell metal items in kg produced in the month t, t=1,2,3,……12 Tt= number of trips for the month t, t=1,2,3,……12 Ct= number of charcoal bags consumed for the month t, t=1,2,3,……12 It= inventory for the month t, t=1,2,3,……12 Ht= number of workers hired for the month t, t=1,2,3,……12 Lt= number of of workers laid off for the month t, t=1,2,3,……12 Wt= workforce for the month t, t=1,2,3,……12 4. Production costs Making charge per kg * quantity produced per month = ∑250* P t, t=1,2,3,…….,12 Inventory cost Holding cost per unit * number of units currently in inventory = ∑2* It, t=1,2,3,…….,12 Costs incurred by the co-operative society Broken bell metal: Rs 750/kg Charcoal bags: Rs 240/bag Transportation costs: Rs 2500/trip ( One trip carries 1tonne of broken bell metal and for charcoal bags the quantity is 100 bags per trip) Inventory costs for the co-operative society: Rs 2/kg The making charge to artisans is calculated as Rs 249.60/kg≈ Rs 250 per kg of finished bell metal items. 3. Cost of Transportation Cost per trip * number of trips per month = ∑2500* Tt, t=1,2,3,…….,12 Therefore, Total cost = Material cost + Cost of Transportation + Production costs + Inventorycost= (∑750* Bt + ∑240* Ct + ∑2500* Tt + ∑250* Pt + ∑2* It), t=1,2,3,…….,12 5. Constraints Inventory constraints Current inventory= Beginning inventory + Production for the current month – Demand for the current month It= It-1+ Pt – Dt, t= 1,2,3,……12, where Dt= Demand for the current month Production constraints Production= number of working days in a month* share of production to ASKS* mean quantity of bell metal processed per day* current workforce Pt= 17*0.11833*15*Wt = 30.174* Wt, t= 1,2,3,……12 Workforce constraints Current workforce= Initial workforce + Number of workers hired - Number of workers laid off Wt = Wt-1 + Ht – Lt, t= 1,2,3,……12 Components of cost incurred Cost of Broken bell metal Cost per kg * Quantity required per month = ∑750* Pt, t=1, 2, 3,……., 12 Cost of Charcoal bags Cost per bag * Number of bags required per month = ∑240* Ct, t=1,2,3,…….,12 Material cost ISSN: 2231-5381 Transportation constraints Number of trips = (Quantity of broken bell metal carried in one trip/1000) + (Number of charcoal bags in carried in one trip/100) Tt = (Pt/1000)+ (Ct/100) , t= 1,2,3,……12 Charcoal bag constraints Number of charcoal bags = Quantity of charcoal bags required for 1kg of finished http://www.ijettjournal.org Page 263 International Journal of Engineering Trends and Technology (IJETT) – Volume 27 Number 5 - September 2015 bell metal * Production quantity for current month Ct = 0.2044* Pt, t= 1,2,3,……12 Hiring and layoff constraints The maximum number of household units that can be hired or laid off per month is considered at most 40. Ht ≤ 40, t= 1,2,3,……12 Lt ≤ 40, t= 1,2,3,……12 6. Objective Function Minimize (∑750* Bt + ∑240* Ct + ∑2500* Tt + ∑250* Pt + ∑2* It), t=1,2,3,…….,12, subject to the following constraints: It= It-1+Pt – Dt, t= 1,2,3,……12 ………………….(i) Pt = 17*0.11833*15*Wt = 30.174*Wt, t=1,2,3,……12 ………………...(ii) Wt = Wt-1 + Ht – Lt, t= 1,2,3,……12 …….………(iii) Tt = (Pt/1000) + (Ct/100), t= 1,2,3,……12 ...……...(iv) Ct = 0.2044* Pt, t= 1,2,3,……12 ……………..(v) Ht <= 40, Lt <=40, t= 1,2,3,……12 ....…………..(vi) It, It-1, Pt, Dt, Wt,Wt-1,Ht,Lt,Tt ,Ct >= 0 .….........… (vii) B. Forecasting of demand for the planned horizon 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Nov'13 Dec'13 Jan'14 Feb'14 Mar'14 April'14 May'14 Jun'14 Jul'14 Aug'14 Sept'14 Oct'14 Nov'14 Dec'14 Jan'15 Feb'15 Mar'15 Considering monthly sales data of ASKS as the input Y range and periods as the input X range and performing regression analysis using MS-EXCEL 2010 data analysis tool pack, we get the following results Thus, Level= 3060.12 Trend= -0.84832 So we get the forecast trend for the next financial year using the formula: Demand = level + trend * period The forecast trend for the financial year 2015-16 is calculated and tabulated in table 2. TABLE 2: FORECAST TREND WITHOUT CONSIDERING SEASONALITY The planned horizon is the financial year 201516. The historical data for the previous three financial years are arranged as follows: TABLE 1. HISTORICAL SALES DATA OF THE CO-OPERATIVE SOCIETY Serial no Month Monthly demand 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 April'12 May'12 Jun'12 Jul'12 Aug'12 Sept'12 Oct'12 Nov'12 Dec'12 Jan'13 Feb'13 Mar'13 April'13 May'13 Jun'13 Jul'13 Aug'13 Sept'13 Oct'13 5302.34 3868.44 2106.35 1698.69 1717.78 1998.25 3716 2756.35 2819.03 4216.52 3059.88 2464.52 5549.6 3925.4 2186.85 1700.12 1728.21 2023.94 3921.19 ISSN: 2231-5381 2762.09 2838.5 4293.03 3086.92 2477.15 5741.34 3933.48 2211.35 1737.22 1787.66 2178.42 4086.09 2843.72 2900.89 4342.61 3129.64 2489.78 Forecast Trend 3028.73 3027.88 3027.04 3026.19 3025.34 3024.49 3023.64 3022.79 3021.95 3021.10 3020.25 3019.40 Since the forecast done without considering seasonality factor, the forecast trend in table 2 does not show the seasonal fluctuations in the forecast demand. We consider periodicity p=12 i.e. after 12 periods, repetition is noticed in the monthly sales data of the co-operative society. So, the deseasonalized demand is calculated using the formula: Dt =[Dt-p/2 + Dt+p/2 +∑2Di]/2p http://www.ijettjournal.org Page 264 International Journal of Engineering Trends and Technology (IJETT) – Volume 27 Number 5 - September 2015 Regression analysis is then performed in MSEXCEL considering the deseasonalized demand as the input Y range and the corresponding periods as the input X range. The following results are obtained: Thus level1=2990.29 Trend1=2.996 The deseasonalized demand after regression analysis is calculated using the formula: Demand = level1 + trend1* period The seasonality indexes are then calculated using the formula: Monthly sales for the co-operative society Deseasonalized demand (reg) TABLE 3. FINAL FORECAST FOR THE YEAR 2015-16 April’15 May’15 Forecast with Seasonality 5662.80 4003.09 June’15 2219.98 July’15 1753.05 Month August’15 1786.21 September’15 2115.78 October’15 4000.02 November’15 2853.85 December’15 2920.79 January’16 4386.03 February’16 3165.77 March’16 2536.19 C. Aggregate planning using MS-EXCEL 2010 (Variable Workforce) The approach is chase strategy-using capacity as the lever, where the production rate is synchronized with the demand rate by hiring or laying off employees as the demand rate varies [1]. In this case the workforce is considered variable i.e. the cooperative society can hire or layoff manufacturing units as per requirement. The aggregate planning problem formulated for the co-operative society is set up in MS-EXCEL 2010 spreadsheet application. The decision variables are The seasonality indexes are arranged in a monthly order and their averages are calculated. The averages are unadjusted and they sum up to k= 0.99970904. The unadjusted averages are adjusted using the formula: Unadjusted average k The final forecast is calculated using the formula: Demand = (level1+ trend1* period) *adjusted average set up periodically for the planned period in a tabular form corresponding to the demand forecast for the planned period. The constraints and the cost components are also set up periodically for the planned period in a tabular form. The equations for the constraints and the cost components are written in the formula bar for the respective constraint and cost component. Then we select the solver tool in MS-EXCEL 2010. The Linear Programming Problem is set up in the solver tool MS-EXCEL tool. The objective is set the cell containing the total cost which is to be minimised. The variable cells to be changed are the cells containing the decision variables over the planned period. The constraints are set up as in the formulation of the LPP The solving method is chosen Simplex LP because the problem is a linear solver problem. The solver tool returns the optimized quantity of decision variables to be utilised in order to fulfil the demand forecast for the planned period. The total cost corresponding to the decision variables across the planned period are calculated which cumulatively returns the total cost to be incurred in the planned period. The total cost is found out to be Rs. 39523091.26. Table 4 shows the quantity of decision variables to be utilized by the co-operative society for the financial year 2015-16. TABLE 4. AGGREGATE PLANNING DECISION VARIABLES AGGREGATE PLAN DECISION VARIABLES PERIOD It (in kgs) 0 1000.00 1 74.54 2 0.00 3 4 Ht Pt (in kgs) Tt 0 0 157 4737.34 14 968 5662.80 40 130 3928.55 12 803 4003.09 0 40 90 2721.58 8 556 2220.00 0 40 50 1514.62 5 310 1753.05 Lt Wt 0 0 117 40 0 13 501.58 263.15 ISSN: 2231-5381 http://www.ijettjournal.org Ct (in bags) DEMAND {in kgs) Page 265 International Journal of Engineering Trends and Technology (IJETT) – Volume 27 Number 5 - September 2015 5 0.00 0 0 50 1523.06 5 311 1786.21 6 338.64 40 9 81 2454.42 7 502 2115.78 7 0.00 40 0 121 3661.38 11 748 4000.02 8 0.00 13 40 95 2853.85 9 583 2853.85 9 129.14 40 34 101 3049.93 9 623 2920.79 10 0.00 40 0 141 4256.89 13 870 4386.03 11 0.00 4 40 105 3165.77 10 647 3165.77 12 1000.00 40 28 117 3536.19 11 723 2536.19 TOTAL 3307.05 271 270 1357 37403.58 114 7645 37403.58 TABLE 5. AGGREGATE PLANNING COST COMPONENTS AGGREGATE PLAN COSTS (IN RUPEES) Period Inventory Production Transportation Material 1 2000 1184335.39 36051.17 3785401.19 2 149.08 982137.11 29896.25 3139130.21 3 0 680395.61 20711.24 2174696.79 4 1003.16 378654.11 11526.23 1210263.36 5 526.30 380765.28 11590.49 1217011.11 6 2.35431E-13 613604.25 18678.11 1961216.63 7 677.27 915345.75 27863.12 2925650.05 8 2.27374E-13 713462.50 21717.80 2280385.97 9 0 762481.75 23209.94 2437062.47 10 258.27 1064223.25 32394.96 3401495.89 11 0 791442.50 24091.51 2529627.51 12 0 884047.50 26910.41 2825613.84 Total 4614.09 9350895 284641.24 29887555.02 Total Cost (in Rs) 39523091.26 D. Aggregate planning using MS-EXCEL 2010 (Constant Workforce) In practice, achieving synchronization of production of varying machine or labour capacity over time is rate with the demand rate with the chase strategy high. using capacity as the lever approach can be very Next we will consider the number of household problematic because of the difficulty of varying units as constant and devise an aggregate plan for capacity and workforce on short notice. This the financial year 2015-16. strategy can be expensive to implement if the cost . TABLE 6. AGGREGATE PLANNING WITH CONSTANT WORKFORCE AGGREGATE PLANNING WITH CONSTANT WORKFORCE Month Demand Cumulative net demand No. of working days No. of units produced per household (in kgs) Cumulative no. of units produced per household (in kgs) No. of workers Monthly production (cumulative) (in kgs) Ending inventor y (in kgs) Charcoal bags (cumulati ve) (in bags) Number of trips (cumula tive) April 5662.8 5662.8 28 49.49 49.49 117 5790.83 128.03 1184 18 May 4003.09 9665.89 19 33.91 83.40 117 9758.22 92.33 1995 30 June 2220 11885.89 11 19.06 102.47 117 11988.64 102.75 2450 36 July 1753.05 13638.94 8 14.98 117.44 117 13740.83 101.89 2809 42 ISSN: 2231-5381 http://www.ijettjournal.org Page 266 International Journal of Engineering Trends and Technology (IJETT) – Volume 27 Number 5 - September 2015 August 1786.21 15425.15 9 15.41 132.85 117 15543.90 118.75 3177 47 September 2115.78 17540.93 11 18.78 151.63 117 17741.10 200.17 3626 54 October 4000.02 21540.95 20 35.22 186.86 117 21862.42 321.47 4469 67 November 2853.85 24394.8 14 24.51 211.37 117 24730.65 335.85 5055 75 December 2920.79 27315.59 14 25.01 236.38 117 27656.55 340.96 5653 84 January 4386.03 31701.62 21 37.44 273.82 117 32036.60 334.98 6548 98 February 3165.77 34867.39 15 26.98 300.80 117 35193.22 325.83 7193 107 March 2536.19 37403.58 12 21.46 322.26 117 37704.46 300.88 7707 115 Total 322.26 The above table shows the aggregate planning using constant workforce for the financial year 2015-16. The approach to the aggregate planning is discussed step by step below. Now, we assume that the goal is to eliminate completely the need for hiring and firing during the planning horizon. Workforce available in hand= 117 We tabulate the forecasted demand for the planned horizon and calculate the cumulative demands as well. We also tabulate the number of working days each month. The quantity of finished bell metal products produced per household for ASKS each month is calculated as: Mean contribution to ASKS per household per day * number of working days in a month. Example for the month of May, the quantity of finished bell metal products produced per household for ASKS is given by 1.775*19 = 33.91 kg. The cumulative quantity of finished bell metal products produced per household for ASKS is also calculated. The monthly production for ASKS is calculated using the formula: Number of workers * cumulative quantity of finished bell metal products produced per household for ASKS Example, the production for the Month of May shows the total production for both the month of April and May. Thus, production for the month of May is given by the formula: Number of workers * cumulative quantity of finished bell metal products produced per household for ASKS for the month of May = 117* 83.40 = 9758.22 kg The results for each month are tabulated. Then the monthly ending inventory is calculated using the formula: Cumulative monthly production – Cumulative net demand The results are tabulated. The number of charcoal bags required for production is given by: Number of charcoal bags consumed in production of 1 kg of finished bell metal item * quantity of finished bell metal items ISSN: 2231-5381 3703.90 Example, number of charcoal bags consumed in April = 0.2044 * 5790.83 ≈ 1184 The results are tabulated. The number of trips required for transportation of broken bell metal from Guwahati to Sarthebari and charcoal from different sources to Sarthebari is given by the formula: (Quantity of broken bell metal carried in one trip/1000) + (Number of charcoal bags in carried in one trip/100) Example, the number of trips for the month of April = (5790.83/1000) + (1184/100) ≈ 18 The results are tabulated. The aggregate plan for the financial year 2015-16 is thus accomplished which is shown in table 6. The cost components are tabulated in the following table. TABLE7. PLANNING COST COMPONENTS OF AGGREGATE COST COMPONENTS (in Rs) Inventory Material Production Transportation 7407.80 30127975.27 9426115.09 286930.94 Total Cost (in Rs) 39848429.10 VI. CONCLUSION Thus the development of an aggregate planning model for the Assam Bell Metal Co-operative society is accomplished using MS-EXCEL 2010 spreadsheet application. Two cases are considered: Case1: The approach is chase strategy-using capacity as the lever, where the production rate is synchronized with the demand rate by laying off employees as the demand rate varies. In practice, achieving this synchronization can be very problematic because of the difficulty of varying workforce on short notice. The aggregate planning model is developed using the solver tool in MSEXCEL 2010 spreadsheet application. The total cost incurred in order to fulfil the forecasted demand for the financial year 2015-16 is estimated to be Rs. 39523091.26 Case 2:The workforce for the co-operative society is considered constant at 117, which is the present http://www.ijettjournal.org Page 267 International Journal of Engineering Trends and Technology (IJETT) – Volume 27 Number 5 - September 2015 strength of the co-operative society. Using this approach, the total cost incurred in order to fulfil the forecasted demand for the financial year 201516 is estimated to be Rs. 39848429.10. Because costs of the two plans are close, it is likely that the company would prefer the constant workforce plan in order to avoid any unaccounted for costs of making frequent changes in the workforce. ACKNOWLEDGMENT We would like to thank Dr. Parimal Bakul Barua, Professor and H.O.D, Department of Mechanical Engineering, Jorhat Engineering College, for his constant support and valuable advice throughout this research work. We would also like to thank Mr. Pranjit Deka, Secretary, Assam bell metal utensils co-operative society for his valuable inputs and information and all the respondents for their valuable feedback. REFERENCES [1] Chopra, S., Meindl, P., Supply chain management: strategy, planning, and operation 3rd edition, ISBN: 0-13-208608-5, 2007;.pp. 01-121. [2] Kalita, B., ‘The Bell Metal industry of Sarthebari’, XVIII no edition, 2008, Assam State Museum bulletin board, pp. 37-47. [3] Goswami, B., ‘Traditional crafts of Assam and their role in employment generation- A study in lower Assam (with focus on some special crafts.)’, 398-GOS, 2007, pp. 93-111. [4] Guillermo, G., ‘IEOR 4000: Production Management’, Lecture 5, October 2000. [5] Kleiner, B. H and Pan Lin., ‘Aggregate planning today’, Vol. 44 No. 3, 1995, pp. 4-7, © MCB University Press, 00438022, May/ June 1995. [6] Sankaranarayanan, T, Khound P.K.., Sellathurai, G, ‘Productivity studies in Bell metal industry at Sarthebari(Assam)’, Prepared by National productivity Council,Guwahati-24;sponsored by IDBI in the library of AIDC office, Guwahati. [7] Sultana, N., Shohan, S., Sufian. F., ‘Aggregate planning using transportation method: a case study in cable industry’, International Journal of Managing Value and Supply Chains (IJMVSC), Vol.5, No. 3, September 2014. [8] Johnny, C. Ho., Francisco J. L, David Ang,, ‘Teaching aggregate planning in operations management’, ISSN: 21639280; Spring, 2015; Volume 14, Number 1. [9] Techawiboonwong, A. and Yenradee, P., ‘Aggregate Production Planning Using Spreadsheet Solver: Model and Case Study’, Industrial Engineering Program, Science Asia, pp. 291-300, 2002. [10] Correa, F.A., Garrido N. P., ‘Excel Model for Aggregate Planning’; Second World Conference on POM and 15th Annual POM Conference; Cancun, Mexico; April 30-May 3, 2004. ISSN: 2231-5381 http://www.ijettjournal.org Page 268