Lot Size Determination in Multi Stage Assembly Systems
Lot Size Determination in Multi Stage Assembly Systems
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24 APPENDIX Theorem 1 : Form of the Optimal Solution (Finite Horizon) . There exists an optimal solution to Problem I with the properties that ^> ^nt \t-l = «' -_ HQ^- > C^/(0^ + Q2) + C2(Q^ + Q2) = Z(Q^ + Q^). Thus Z(Q + Q ) _< Z(Q ), and (Q + Q2)/Q2 is integer bv construction. Proof of Theorem 2 follows bv induction over the levels of the A multi-stage system. We assume we have an optimal solution and show that it must be integer. Consider the stages belonging to the first * level, L, . If n e L, , then h = H . Substituting Q -, for R in 1 Inn a(n) 30 Proposition 2, Z(0 ) = S /Q + ^ (Q - l)/2 + H ((q, , - l)/(q (n))Q^, .. ^ n n n n n n a(. N; a a(, n; Lemma 2 applies implying k is a positive integer. Now suppose k. Is integer for all stages F. , i e L U L U, ... , UL. _, . Let n £ L . Then the total cost associated with the choice of lot size J Q is evidently Z(Q ) = RS /Q + h (Q - l)/2 +, . H (1 - q, . /q . . ^n n^n n ^n a(n) n a(n) ^a(n) + l Z(k. O ) leb(n) Noting that (1 - q /.
What to read after Lot Size Determination in Multi Stage Assembly Systems?
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To quickly assess the difficulty of the text, read a short excerpt:
24 APPENDIX Theorem 1 : Form of the Optimal Solution (Finite Horizon) . There exists an optimal solution to Problem I with the properties that ^> ^nt \t-l = «' -_ HQ^- > C^/(0^ + Q2) + C2(Q^ + Q2) = Z(Q^ + Q^). Thus Z(Q + Q ) _< Z(Q ), and (Q + Q2)/Q2 is integer bv construction. Proof of Theorem 2 follows bv induction over the levels of the A multi-stage system. We assume we have an optimal solution and show that it must be integer. Consider the stages belonging to the first * level, L, . If n e L, , then h = H . Substituting Q -, for R in 1 Inn a(n) 30 Proposition 2, Z(0 ) = S /Q + ^ (Q - l)/2 + H ((q, , - l)/(q (n))Q^, .. ^ n n n n n n a(. N; a a(, n; Lemma 2 applies implying k is a positive integer. Now suppose k. Is integer for all stages F. , i e L U L U, ... , UL. _, . Let n £ L . Then the total cost associated with the choice of lot size J Q is evidently Z(Q ) = RS /Q + h (Q - l)/2 +, . H (1 - q, . /q . . ^n n^n n ^n a(n) n a(n) ^a(n) + l Z(k. O ) leb(n) Noting that (1 - q /.
What to read after Lot Size Determination in Multi Stage Assembly Systems?
You can find similar books in the "Read Also" column, or choose other free books by Wallace B C Crowston to read online
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