GENERATING THE CONVEX HULL OF A 0-1 PROGRAMMING POLYTOPE WITH POSITIVE _COEFFICIENTS.

W1TR~tO-rA present a procedure which generates all the facets of a 0-1 programming polytope P with positive coefficients in a finite number of steps. The procedure is based upon the rela-tionship between facets of P and facets of the knapsack poly-topes corresponding to certain nonnegative combinations of in-equalities implied by P. Finiteness of the procedure is proven by examining the relationship of the valid inequalities gener-ated during each step of the procedure in connection with a result due to Chvatal. In addition to exploring the proper-ties of inequalities generated by the procedure, several proper-ties of the classes of valid inequalities for the knapsack poly-tope defined in Balas and Balas and Jeroslow t are pre-sented. In particular, the set of canonical inequalities\"_Q is shown to belong to Chv'atal's elementary closure. A................... 5 ' , 7; I &apos