• Arrow KJ, Karlin S (1958) Production over time with increasing marginal costs. In: Arrow KJ, Karlin S, Scarf H (eds) Studies in the mathematical theory of inventory and production. Stanford Univ Press, Stanford, pp 61–69

  Google Scholar 

• Feichtinger G, Hartl RF (1986) Optimale Kontrolle ökonomischer Prozesse: Anwendungen des Maximumprinzips in den Wirtschaftswissenschaften. De Gruyter, Berlin

  Google Scholar 

• Hartl RF (1984) A survey of the optimality conditions for optimal control problems with state variable inequality constraints. In: Brans JP (ed) Operational research '84. North-Holland, Amsterdam, pp 423–433

  Google Scholar 

• Ijiri Y, Thompson GL (1970) Applications of mathematical control theory to accounting and budgeting (the continuous wheat trading model). Accounting Rev 45:246–258

  Google Scholar 

• Jacobson DH, Lele MM, Speyer JL (1971) New necessary conditions of optimality for control problems with state-variable inequality constraints. J Math Analysis & Applications 35:255–284

  Google Scholar 

• Maurer H (1979) Differential stability in optimal control problems. Appl Math & Optimiz 5: 283–295

  Google Scholar 

• Modigliani F, Hohn F (1955) Production planning over time and the nature of the expectation and planning horizon. Econometrica 23:46–66

  Google Scholar 

• Rempala R (1980) On the multicommodity Arrow-Karlin inventory model. Proc First Int Symp on Inventories, Hungarian Acad of Science, Budapest, pp 491–499

  Google Scholar 

• Rempala R (1982) On the multicommodity Arrow-Karlin inventory model — part II: Horizon and horizontal solution. Proc Second Int Symp on Inventories, Hungarian Acad of Science, Budapest, pp 785–792

  Google Scholar 

• Seierstad A, Sydsaeter K (1977) Sufficient conditions in optimal control theory. International Economic Review 18:367–391

  Google Scholar 

• Sethi SP, Thompson GL (1982) Planning and forecast horizons in a simple wheat trading model. In: Feichtinger G (ed) Operations research in progress. Reidel, Dordrecht, pp 203–214

  Google Scholar 

• Sprzeuzkouski AY (1967) A problem in optimal stock management. J Optim Theory & Applications 1:232–241

  Google Scholar 

• Stöppler S (1985) Der Einfluß der Lagerkosten auf die Produktionsanpassung bei zyklischem Absatz — Eine kontrolltheoretische Analyse. OR-Spektrum 7:129–142

  Article  Google Scholar 

• Teng J-T, Thompson GL, Sethi SP (1984) Strong decision and forecast horizons in a convex production planning problem. Opt Control Applications & Methods 5:319–330

  Google Scholar 

Download references