Decision Making on selection of alternate energy resources in a Software Company Presented By Hamid Amir EM/MSC/048 Company Introduction Numetrics Private Limited, Islamabad Pakistan Fully-owned subsidiary of Numetrics Management Systems Based in Silicon Valley in USA A world leader in providing predictive analytics project management software for: ◦ IC ◦ Semi-conductor ◦ Embedded systems organizations The core engineering center for the worldwide organization Has setup an offshore office in Islamabad comprising 30 colleagues. Six Steps in Decision Making Step 1 Step 2 Step 3 • Clearly define problem at hand. • List possible alternatives • Identify possible Outcomes • List pay offs or profits for each combination of alternatives and outcomes Step 4 • List one of the mathematical i.e Quantitative decision theory models. Step 5 Step 6 Apply the model and make your decision Decision Making on selection of alternate energy resources in a Software Company Possible Alternatives Do nothing i e WAPDA electricity and working with 4 hour load shedding Solar plus WAPDA UPS plus WAPDA Generator plus WAPDA ◦ . Electricity Load Calculation - Numetrics Software Equipment Quantity Wattage Total Wattage CPUs 50 110 5500 LCD Monitors 18" 50 45 2250 Laptops 40 150 6000 Server Machines 6 260 1560 Refrigerator 2 1000 2000 Split A.C 2 Ton 11 2200 24200 Tube lights 80 40 3200 Energy Savers 70 25 1750 Fans 20 80 1600 Total Total KW (Watts/100 0) 48060 48.06 1 Electricity Cost - WAPDA 1.1 Electricity Cost - WAPDA @ Total Load Calculation with 4 hrs daily load-shedding 1 Unit Price for 1 KWH (Rs.) Peak (Rs.) Off Peak (Rs.) 13.20 8.01 Assuming Average (Rs.) (Peak+Off Peak)/2 10.61 Total Load (KW) Electricity Cost Rs. Per Hr (Unit Price * Total KW) Additional Surcharges @ 50% (Fuel Adjustment + GST + Duty ) WAPDA Electricity Cost Rs Per Month = 22 days (Unit Price * Total KW *8*22) Per Year (for 8 hrs, without load shedding) Per Year (for 4 hrs daily operation) Total Electricity Cost WAPDA - 5 years (for 4 hrs daily operation) Total Electricity Cost WAPDA - 10 years (for 4 hrs daily operation) 48.06 509.68 764.51 134,555 1,614,655 807,327 4,036,636 8,073,273 Electricity Cost - WAPDA Electricity Cost - WAPDA Partial Load Calculation only for AC & Refrigerator Load (28 KW) ) For further consideration with UPS and Solar options which don't support AC/Ref loads) 1 Unit Price for 1 KWH (Rs.) Peak (Rs.) Off Peak (Rs.) Assuming Average (Rs.) (Peak+Off Peak)/2 WAPDA Electricity Cost Rs. (Partial for AC/Ref. only) Per Month = 22 days (Unit Price * Total KW *8 hrs*22 days) Per Year (without load shedding) (month * 12 ) Per Year (for 4 hrs daily operation) Total Electricity Cost WAPDA - 5 years (for 4 hrs daily operation) Total Electricity Cost WAPDA - 10 years (for 4 hrs daily operation) 13.20 8.01 10.61 78,392 940,706 470,353 2,351,765 4,703,530 B. Revenue Loss due to 4 hrs daily load-shedding No of Employees Total Salaries per month (22 days) 30 3,000,000 Total Salaries per hr 17,045 Total Salaries loss per day (4 hrs-load shedding) 68,182 Total Revenue loss per day (4 hrs-loadshedding) Assuming 25% of salaries 17,045 Total Revenue Loss per month (22 days) (4 hrs-load shedding) 375,000 Total Revenue Loss per year (12 months) (4 hrs-loadshedding) 4,500,000 Total Revenue Loss for 5 years (4 hrs-loadshedding) 22,500,000 Total Revenue Loss for 10 years (4 hrs-loadshedding) 45,000,000 2 Electricity Cost - SOLAR + WAPDA (Partial) Solar System Capacity Electriciy Load (KW) 48.06 Electriciy Load (KVA) (1 KVA = 0.8 * KW) 38.448 Solar Panels + Solar System Initial Cost Inverters + Charge Controller + Install Cost Batteries Cost Solar System Total Initial + Running Cost (5 years) WAPDA Partial Load Cost for AC + Refrigerator (5 years) Total Solar (Initial + Running ) + WAPDA Partial Load Cost ( 5 years) Solar Batteries Upgrade after 5 years Solar System Total Initial + Running Cost (10 years) (5 years cost + batteries replacement after 5 years) WAPDA Partial Load Cost for AC + Refrigerator (10 years) Total Solar (Initial + Running ) + WAPDA Partial Load Cost ( 10 years) Cost (Rs.) 4,108,000 5,131,000 9,239,000 2,351,765 11,590,765 5131000 14,370,000 4,703,530 19,073,530 3 Electricity Cost - UPS + WAPDA Dedicated UPS Electriciy Load (KW) Electriciy Load (KVA) (1 KVA = 0.8 * KW) UPS Capacity (KVA) No. of Units Required Installed capacity (KVA) UPS Cost per unit UPS Cost per unit + Maintenance @30% during 5 years Total UPS Install Cost for 5 years (Rs.) Assuming 5 year life WAPDA Supply Cost for 5 years (4 hrs daily) 48.06 38.45 10 8 80 345,000 448,500 3,588,000 4,036,636 UPS Charging cost on WAPDA supply for 5 years (after 4 hrs discharge daily) WAPDA Supply * 1.5 6,054,954 Total Cost for 5 years (UPS Install + UPS Operation + WAPDA Supply for 4 hrs) (Rs.) 10,091,591 Total Cost for 10 years (UPS Install + UPS Operation + WAPDA Supply for 4 hrs) (Rs.) 20,183,181 4Electricity Cost - Generator + WAPDA Generator Capacity (KVA) Capacity (kW) Initial Cost (assuming 10 years life) Running cost per hr (Diesel, Parts, Maintenance) Running cost per 4-hr (daily load-shedding) Running cost per month 22 days (4-hr daily loadshedding) Generator Running cost per year (during 4-hr daily load-shedding) Generator Running cost for 5 years (during 4-hr daily load-shedding) Total Generator Cost for 5 years (Running cost + initial cost) for 4 hr daily operation WAPDA Supply cost for 5 years (4 hrs daily) Total Generator + WAPDA Cost for 5 years (4 hrs WAPDA + 4 hrs Generator) Generator Running cost for 10 years (4-hr daily operation) Total Generator Cost for 10 years (Running cost + initial cost) for 4 hr daily operation WAPDA Supply cost for 10 years (4 hrs daily) Total Generator + WAPDA Cost for 10 years (4 hrs WAPDA + 4 hrs Generator) 60 75 2,200,000 650 2,600 57,200 686,400 3,432,000 5,632,000 4,036,636 9,668,636 6,864,000 9,064,000 8,073,273 17,137,273 Decision making models used Sensitivity analysis Decision Making Models Applied Decision theory is an analytic and systematic approach to the study of decision making models. Good decision; logical, considering all available data, alternatives and application of quantitative decision model. Decision Making Environments Certainty: alternatives and outcomes known with certainty -e g interest on income. Risk: alternatives and Probability of occurrence of each outcome known-e g fliping of coin . Uncertainty: Probability of occurrence of each outcome not known-e g election results after 10 years. Decision Making under Risk ◦ Probabilistic decision situation ◦ EMV is the weighted sum of possible payoffs for each alternative. ◦ EOL requires an opportunity loss table; it is the amount lost by not picking the best alternative/solution. ◦ Maximum EMV and Minimum EOL will always give same result. ◦ Sensitivity Analysis investigates how our decision might change with different input data /probability scenario. ◦ Decision Trees used for large sequential decision problems. Decision making under Uncertainty ◦ Probability data not available ◦ Maximax is an optimitic approach/decision criterion as it maximizes the maximum outcome for every alternative ◦ Maximin is a pessimistic approach/decision criterion as it maximizes the minimum outcome for every alternative ◦ Equally Likely (Laplace Criterion) computes the highest average outcome ◦ Criteria of Realism (Hurwicz Criterion) uses the weighted average approach( personal choice of alpha 0-1;alpha close to 1 ;optimistic decision maker ) ◦ Minimax Regret is based on opportunity loss;it finds the alternative that minimizes the maximum opportunity loss with in each alternative Decision Making Models Applied Decision making models under uncertainty Maximin Maximin Minimax Regret Laplace Hurwicz Decision making models under Risk EMV( Expected monetary value) EOL( Expected opportunity loss) Decision Tree Sensitivity Analysis Prospect Theory Decision Model OPTIONS (Do Nothing) WAPDA Supply for 4 1 hrs daily SOLAR + WAPDA 2 (Partial) 3 4 UPS + WAPDA Generator + WAPDA Net Savings -5 yrs (Revenue Gain - Elect. Cost – Revenue Losses) Net Savings- 10 yrs (Revenue Gain Elect. Cost – Revenue Losses) -26,536,636 -53,073,273 10,909,235 25,926,470 12,408,409 24,816,819 12,831,364 27,862,727 Decison making model under uncertainity Options Regret Table Minimax Regret Do Nothing 39,368,000 80,936,000 80,936,000 Solar + WAPDA 1,922,129 1,936,57 1,922,129 UPS + WAPDA 422,955 3,045,908 3,045,908 Generator + WAPDA 0 0 0 Decision making under uncertainty Maximax Maximin Laplace Max in a row` Min in a row Row Average (Equally Likely) hurwicz Criterion of Realism Alpha | Minimax Regret 0.4 Alpha(max) + (1-alpha)(min) - 26,536,636 25,926,470 24,816,819 27,862,727 -53,073,273 [(-26,536,636 -53,073,273)]/2 =- 39,804,954.5 10,909,235 [ (10,909,235+ 25,926,470)]/2 = 18,417,852.5 12,408,409 12,831,364 [( 12,408,409+ 24,816,819)]/2 =18,612,614 [(12,831,364+ 27,862,727)]/2 = 20,347,045.5 - 42,458,618.2 39,368,000 80,936,000 16,916,19 1,922,129 1,936,57 17,371,773 422,955 3,045,908 18,843,909.2 0 0 Decision making model under Risk EOL 5 Years prob=0.5 EOL 10 Years prob=0.5 EOL Value 39,368,000 80,936,000 19,684,004.47 1,922,129 1,936,57 1,057,893 422,955 0 3,045,908 0 1,734,431.5 0 EMV - 39,804,618.2 18,417,852.5 18,612,614 18,843,909.2 Prospect Theory OPTIONS Net Savings -5 yrs P1 X2 P2 V(F)=v(x1)w( (Revenue Gain - Elect. (Probabili (Outcome as (Probabili p1)+v(x2)w(p Cost – ty loss-failure) ty 2) Revenue Losses) weightage weightage X1 (Outcome as gainof X1) of X2) success) SOLAR + WAPDA (Partial) 10,909,235 0.2 -22,500,000 0.8 3,780,641.369 UPS + WAPDA 12,408,409 0.3 -22,500,000 0.7 3,174,388.785 Generato r+ WAPDA 12,831,364 0.90 -22,500,000 0.1 -116,256.7974 Decision Tree 5 yrs - 39,804,954.5 - 26,536,636 Do Nothing 10 Yrs - 53,073,273 18,417,852.5 5 Yrs Solar+WAPDA 10 Yrs 18,612,614 5 Yrs 10,909,235 , 25,926,470 12,408,409 UPS+WAPDA 10 Yrs 20,347,045.5 5 Yrs Generator+ WAPDA 10 Yrs 24,816,819 , 12,831,364 27,862,727 Decision Making under Uncertainty Criterion Choice Alternative Maximax Generator plus WAPDA Maximin Generator plus WAPDA Laplace Generator plus WAPDA (Equally Likely) Hurwicz Generator plus WAPDA (Criteria of Realism) Minimax(Regret) Generator plus WAPDA Decision Making under Risk Criterion Choice Alternative EMV Generator plus WAPDA EOL Generator plus WAPDA Sensitivity Analysis Generator plus WAPDA Decision Tree Generator plus WAPDA Prospect Theory Generator plus WAPDA Conclusion Decision planning Making a decision without planning is fairly common but does not often end well. Planning allows for decisions to be made comfortably and in a smart way. Planning makes decision making a lot more simple than it is. Decision will get four benefits out of planning: 1. It gives chance to the establishment of independent goals. It is a conscious and directed series of choices. 2. Provides a standard of measurement. It is a measurement of whether you are going towards or further away from your goal. 3. It converts values to action. 4. Allows for limited resources to be committed in an orderly way. Always govern the use of what is limited to you. (e.g. money, time, etc.) Decision making In the real world, most of our decisions are made unconsciously in our mind. Decision-making models offer analytical tools which can be combined to provide useful insights. No perfect model as decision environments vary. Therefore risk preference/profile and decision environment may dictate choice of appropriate model. Decision planning must be done. Cognitive Biases must be taken care off. Objectives must first be established. Objectives must be classified and placed in order of importance. Alternative actions must be developed. Alternative must be evaluated against all the objectives. Alternative that is able to achieve all the objectives is the tentative decision. Tentative decision be evaluated for more possible consequences. Decisive actions be taken and additional actions must be taken to prevent any adverse consequences from becoming problems and starting both systems (problem analysis and decision making) all over again. Selected Decision model steps be followed to determine an optimal plan. In a situation featuring conflict, role-playing is helpful for predicting decisions to be made by involved parties. Cognitive and personal decision making Biases can creep into our decision making processes. Confirmation bias in psychology- (Scott Plous, 1993) – People tend to be willing to gather facts that support certain conclusions but disregard other facts that support different conclusions. Premature termination of search for evidence – People tend to accept the first alternative that looks like it might work. Cognitive inertia – Unwillingness to change existing thought patterns in the face of new circumstances. biases in Selective perception – We actively screen-out information that we do not think is important. (e g prejudice.) Wishful Thinking – a tendency to want to see things in a positive light, which can distort perception and thinking. Choice Supportive Bias- occurs when people distort their memories of chosen and rejected options to make the chosen options seem more attractive. Recency – People tend to place more attention on more recent information and either ignore or forget more distant information. Repetition bias – A willingness to believe what one has been told most often and by the greatest number of different sources. Anchoring and adjustment – Decisions are unduly influenced by initial information that shapes our view of subsequent information Group think – peer pressure to conform to the opinions held by the group. Source credibility bias – A tendency to reject a person's statement on the basis of a bias against the person, organization, or group to which the person belongs. People preferentially accept statement by others that they like . Incremental decision making and escalating commitment – We look at a decision as a small step in a process and this tends to perpetuate a series of similar decisions; can be contrasted with zero-based decision makin. Attribution asymmetry – People tend to attribute their own success to internal factors, including abilities and talents, but explain their failures in terms of external factors such as bad luck. Role fulfillment – A tendency to conform to others' decision-making expectations. Illusion of control–People tend to underestimate future uncertainty because of a tendency to believe they have more control over events than they really do. Thank You