each band :?onieplace between 70.71 percent and 50 percent of the dis- 

 tance from the inner edge of the band to its outer edge.'- This is the 

 "average" location of the poiihry in the liand. The locations of the im- 

 pound points are indicated in Figure 1. The radial distance of the im- 

 pound point in any supply band from the plant is the full radius of the 

 next smallest supply area plus the distance into the supply band for that 

 impound point. -^ The locations of the several impound points from 

 which any individual firm assembles poultry on any particular day are 

 all along the same radial line from the plant. This arrangement permits 

 the analysis of movement of crews between impound points, while at 

 the same time meeting the requirement for no travel within bands, and 

 minimizing travel Ijetween impound points in different bands. Locations 

 of impound points along such a radial line is illustrated in Figure 1. 

 During a year there will be about 50 positions around the supply plane 

 for this radial line. 



Constructing the assembly model with this type of band and im- 

 pound point arrangement facilitates the development of crew-truck com- 

 binations for the assembly job. The band and impound point arrange- 

 ment simplify ( 1 ) setting up the precise timing and arrangement of 

 trips, (2) indicating how many of the trucks can pick up one load a day 

 and how many more than one load, and consequently, how many trucks 

 are needed, (3) indicating numbers of crews needed and their sizes, and 

 (4) determining whether trucks can reach the perimeter of a supply 

 area within the restrictions of the model. One average location of poultry 

 for each sized firm cannot accomplish these needs of the study. 



Truck Productivity in Live Bird Transportation 



The numlier of loads for trucks of two sizes needed to assemble the 

 poultry from each band is indicated in Table L The most typical sizes 

 of trucks used by assembly firms can handle 190 or 220 crates, so these 

 were the sizes chosen. 



Trucks are assumed to leave from plants at the beginning of each 

 work day and make as many round trips as is possible within the restric- 

 tion that the work day cannot exceed 10 consecutive hours. No second 

 shift is permitted as indicated in Assumption 6. 



It was necessary to determine the hauling distance for poultry from 

 the impound points to the plants, and to determine truck and car travel 

 distances. To do this, the relationship between road distances and radial 

 distances under New England conditions was established.^ For all radial 

 distances greater than 10 miles a linear regression equation was used: 

 D = - 1.534 + 1.351P 



Where: 



D = road distance in miles 

 P = radial distance in miles 

 For radial distances less than 10 miles the following linear regression 

 equation was used: 



D = 1.196P 



- See Appendix A. 



•^ See Appendix Table F-1. 



"* See Appendix A. 



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