### Table 2: Lot Sizing Parameters

"... In PAGE 5: ... Relationships to facilitate so- Table 3: Experimental Design Factor 2: Lot Sizing Rule Factor 1: lution, based on differential equations, are given in Enns and Choi (2002). The lot sizes obtained using optimization techniques to minimize average lot flowtimes at capacity- constrained locations are given in Table2 . The shaded rows also show the lot sizes for the independent demand parts, P1, P2 and P7.... In PAGE 5: ... p D Q T j j j POQ 1 * , = (5) where TPOQ, j is the number of time periods used in plan- ning part type j orders, Dj is the average period demand for part type j and p is the size of the time buckets, in periods. The periods of demand to include in orders for each part type are shown in the last column of Table2 . The cal- culation of the TPOQ parameters is based on rounding the value obtained using Equation (5) to an integer number of time buckets, assuming 20 time buckets per period.... ..."

### Table 1: Parameters for the CLSP with discrete lot-sizes and fixed charges (EPQs).

1998

"... In PAGE 3: ... Solving the CLSP optimally is known to be NP-hard (Bitran amp; Yanasse 1982). Table1 specifies the problem parameters. The CLSP considered here has two particularities: (i) Items can only be produced in predefined quantities (lots) and setup costs are compensated by economic production quantities (EPQs).... ..."

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### Table 4: Average Lot Sizes by Part Number

"... In PAGE 6: ... M e a n T a r d in e s s ( h r . ) FOQ LFL POQ Figure 6: Seasonal Demand The average lot sizes for each part type when using each of the lot-sizing polices are shown in Table4 . It can be noted that the lot sizes for all independent demand parts, shown as shaded rows, are roughly equivalent.... In PAGE 6: ... Using roughly the same Master Schedule to drive each of the planning systems ensures comparisons across different lot- sizing policies are kept fair. The results in Table4 indicate FOQ lot sizes at capac- ity-constrained locations are smaller. The performance with FOQ lot sizes is superior, as shown in Figures 5 and 6, even though more setups are being incurred.... ..."

### Table 3: Changes in the trading lot size

2007

### Table 8: Comparison of lot size estimated by conventional and SLLS methods

"... In PAGE 87: ...2. Results Table8 shows the comparison of lot size estimated by both conventional and SLLS methods. Table 9 shows the comparison of PLT estimated by both conventional and SLLS methods.... ..."

### Table 10: Lot-sizing for best solution found for problem 2

"... In PAGE 29: ...5% over the Integrated Approach Algorithm. Table 9: Results for best solutions found by the genetic algorithm Problem (N,T,M) Integrated Approach LS- Algorithm Improvement LS-SST Algorithm Improvement LS-SC Algorithm Improvement P1(10-12-4) 1,416,631 1,027,744 27% 977,369 31% 971,744 31% P2(20-12-7) 2,687,048 2,76,809 19% 1,835,480 32% 1,726,960 36% Table10 shows the lot-sizing solution for product 1 and product 2 in the best solution found for problem 2. Figure 11 shows the schedule for period 1 using a Gantt chart.... ..."

### Table 8: Results for JGA for the capacitated lot-sizing and scheduling problems

"... In PAGE 28: ...ere set to 0.4 and 0.9 respectively. The population size (POPSIZE) was set to 200 individuals, and the number of generations (MAXGEN) to 600. Table8 shows the results for the GA using the three scheduling algorithms described previously. Each method is applied to both problems and 20 replications (runs) were executed.... ..."

### Table 2: Joint Lot Sizing and Finished Product Delivery Problems

### Table 3: Joint Raw Material Delivery and Lot Sizing Problems

### Table 1. (a) Example lots and their attributes. Lots are grouped together into batches of size 60. The attributes of a single-lot batch are the same as those of its lot. The derived attributes of the multi-lot batches are shown underlined. (b) Example even distribution values. (c) One possible sequencing of the batches and lots over two days. (a) (b)

"... In PAGE 3: ... As a rst step, each order is split into several smaller quantities of vehicles called lots such that the size of each lot is less than or equal to 60 vehicles, called the batch size. The lots are then grouped together into batches by putting together similar lots with sizes that add up to the batch size (see Table1 (a) for an example). Each batch is assumed to take one hour of time to produce on an assembly line.... In PAGE 6: ... Example 1. Table1 (a) shows an example set of lots and their grouping into batches. The batches are to be sequenced on one assembly line over two days, where each day has a capacity of seven batches.... In PAGE 6: ... Suppose we de ne the following constraints. An even distribution constraint is de ned on the Cartesian-product of the model and sun-roof attributes and the distribution values are as listed in Table1 (b). To illustrate, there are three batches with attribute values Model \M1 quot; and Sun-roof \Yes quot; and the distribution values specify that two of these batches must be sequenced on the rst day and one batch must be sequenced on the second day.... In PAGE 7: ... Thus, sequencing lot L17 followed by L18 would incur a penalty value of 100. Table1 (c) gives one possible sequencing of the batches and lots. The change-over constraint is violated three times (L17 ! L18, L09 ! L10, and L05 ! L04) and the run-length constraint is not violated at all for a total penalty value of 300.... ..."