HW5_solution

# HW5_solution - solution of homework 5 Problem 1 Let fi denote the minimum cost from period i to the end of the planning horizon given the inventory

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solution of homework 5 Problem 1 Let f i denote the minimum cost from period i to the end of the planning horizon given the inventory level at the beginning of period i is 0. N = 5 f i = min i +1 j N +1 ( C ? ij + f j ) C ? ij = min i k<j C ij ( k ) f N +1 = 0 Then base on the above formula, we could get: C ? 56 = 4000 + 1000 * 3 = 7000 f 5 = C ? 56 + f 6 = 4000 + 1000 * 3 = 7000 C ? 45 = 4000 + 1000 * 2 = 6000 C ? 46 = min (9000 + 300 * 3 , 9000 + 2 * 800) = 9900 f 4 = min ( C ? 45 + f 5 C ? 46 + f 6 = min ( 13000 9900 = 9900 C ? 34 = 4000 + 1000 * 2 = 6000 C ? 35 = min (8000 + 300 * 2 , 8000 + 2 * 800) = 8600 C ? 36 = min (11000 + 300 * 8 , 11000 + 300 * 2 + 800 * 3 , 11000 + 800 * 6) = 13400 f 3 = min C ? 34 + f 4 C ? 35 + f 5 C ? 36 + f 6 = min 15900 15600 13400 = 13400 C ? 23 = 4000 + 1000 * 4 = 8000 C ? 24 = min (10000 + 300 * 2 , 10000 + 4 * 800) = 10600 C ? 25

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## This note was uploaded on 03/16/2012 for the course IEOR 466 taught by Professor Richard during the Spring '12 term at Columbia.

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HW5_solution - solution of homework 5 Problem 1 Let fi denote the minimum cost from period i to the end of the planning horizon given the inventory

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