服务管理：运作、战略与信息技术(原书第9版)教学课件Ch07S_DEA.pptVIP

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服务管理：运作、战略与信息技术(原书第9版)教学课件Ch07S_DEA.ppt

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Chapter 7 SupplementData Envelopment Analysis (DEA) Identifying Efficient Decision Making Units * Copyright ? 2019 by The McGraw-Hill Companies, Inc. All rights reserved. Measuring Service ProductivityBranch Bank Example 1. ACCOUNTING RATIO: COST PER TELLER TRANSACTION HIGHER RATIO WOULD BE INEFFICIENT RELATIVE TO OTHERS, BUT COULD BE EXPLAINED BY: 1. MIX OF OUTPUTS (SELLING CD’S VS SIMPLE DEPOSITS) 2. MIX OF INPUTS (USE OF ATM’S AND LIVE TELLERS) 2. BROAD BASED MEASURE: RETURN ON INVESTMENT OVERALL IMPORTANT BUT NOT SUFFICIENT TO EVALUATE OPERATING EFFICIENCY OF INDIVIDUAL DECISION MAKING UNIT (DMU) FOR EXAMPLE: A PROFITABLE BRANCH COULD BE THE RESULT OF HIGHER-THAN-AVERAGE PROPORTION OF REVENUE GENERATING TRANSACTIONS RATHER THAN COST-EFFICIENT USE OF RESOURCES. * Copyright ? 2019 by The McGraw-Hill Companies, Inc. All rights reserved. The DEA Model Fractional Form j =1,2,…,M i= 1,2,…,N * Copyright ? 2019 by The McGraw-Hill Companies, Inc. All rights reserved. DEA in Standard LP Form(Scaling inputs to sum to 1.0) * Copyright ? 2019 by The McGraw-Hill Companies, Inc. All rights reserved. Table 7.5: Summary of Outputs and Inputs for Burger Palace * Copyright ? 2019 by The McGraw-Hill Companies, Inc. All rights reserved. Burger Palace LP Formulation for the First Service Unit S1 * max E(S1) = u1100 subject to u1100 ? v12 ? v2200 ≤ 0 u1100 ? v14 ? v2150 ≤ 0 u1100 ? v14 ? v2100 ≤ 0 u1100 ? v16 ? v2100 ≤ 0 u1100 ? v18 ? v280 ≤ 0 u1100 ? v110 ? v250 ≤ 0 v12 + v2200 = 1 u1, u2, v2 ≥ 0 Copyright ? 2019 by The McGraw-Hill Companies, Inc. All rights reserved. Figure 7.19: Productivity Frontier of Burger Palace * Copyright ? 2019 by The McGraw-Hill Companies, Inc. All rights reserved. Table 7.7: Summary of DEA Results * Copyright ? 2019 by The McGraw-Hill Companies, Inc. All rights reserved. Table 7.8: Calculation of Excess Inputs Used by Unit S4 * Copyright ? 2019 by The