Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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17. Models of inventory systems frequently consider the relationships among a beginning in-
ventory, a production quantity, a demand or sales, and an ending inventory. For a given
production period j, let
S1 = ending inventory from the previous period (beginning inventory for period j)
Xj = production quantity in period j
dj = demand in period j
Sy = ending inventory for period j
a. Write the mathematical relationship or model that describes how these four variables
are related.
b. What constraint should be added if production capacity for period j is given by C?
c. What constraint should be added if inventory requirements for period j mandate an
ending inventory of at least I?
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Transcribed Image Text:17. Models of inventory systems frequently consider the relationships among a beginning in- ventory, a production quantity, a demand or sales, and an ending inventory. For a given production period j, let S1 = ending inventory from the previous period (beginning inventory for period j) Xj = production quantity in period j dj = demand in period j Sy = ending inventory for period j a. Write the mathematical relationship or model that describes how these four variables are related. b. What constraint should be added if production capacity for period j is given by C? c. What constraint should be added if inventory requirements for period j mandate an ending inventory of at least I?
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